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Characters for Coset Conformal Field Theories

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arxiv hep-th/9210122 v1 pith:SMFMECTO submitted 1992-10-22 hep-th

Characters for Coset Conformal Field Theories

classification hep-th
keywords conformalcosetfieldcharacterstheoriesapplybranchingcannot
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We solve the Kac-Moody branching equation to obtain explicit formulae for the characters of coset conformal field theories and then apply these to specific examples to determine the integer shift of the conformal weights of primary fields. We also present an example of coset conformal field theory which cannot be described by the identification current method.

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  1. Non-Invertible Anyon Condensation and Level-Rank Dualities

    hep-th 2023-12 unverdicted novelty 8.0

    New dualities in 3d TQFTs are derived via non-invertible anyon condensation, generalizing level-rank dualities and providing new presentations for parafermion theories, c=1 orbifolds, and SU(2)_N.